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167 articles for “Distributions”
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Research ArticleOpen accessEvery word in the titleCharacterizations for the Power Inverse Gaussian and Generalized Inverse Gaussian Distributions Based on Conditional MomentsAbdullah Yahia Al-HossainIn this study, we characterize the power inverse Gaussian and generalized inverse Gaussian distributions based on recurrence relations for conditional moments in terms of hazard rate functions. Relations for conditional moments of the largest order statistic (upper record value) given the second largest order statistic (upper record value) are derived from these recurrence relations. Characterizations of the inverse Gaussian, reciprocal … …Journal of Mathematics and Statistics, Vol. 11, Issue 3 · 23 Nov 2015 · 6,865 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleInterface between the Ratio β with Area Under the ROC Curve and Kullback-Leibler Divergence Under the Combination of Half Normal and Rayleigh DistributionsSaebugari Balaswamy, Rudravaram Vishnu VardhanClassifying objects/individuals is common problem of interest. Receiver Operating Characteristic (ROC) curve is one such tool which helps in classifying the objects/individuals into one of the two known groups or populations. The present work focuses on proposing a Hybrid version of the ROC model. Usually the test scores of the two populations namely normal and abnormal tend to follow some … …Current Research in Biostatistics, Vol. 5, Issue 2 · 12 Nov 2015 · 7,655 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleTHREE BAYESIAN TEST INDEXES FOR NORMAL DISTRIBUTIONSYohei KawasakiIn clinical trials, data that are consistent with a normal distribution are often regarded as candidates for primary evaluation variables. In such cases, t-tests are frequently used to compare different groups of data. However, the repeated use of t-tests leads to problems with multiplicity. This study proposes three new indexes that are based on (Kawasaki and Miyaoka, 2012; 2013). These … …Journal of Mathematics and Statistics, Vol. 10, Issue 2 · 24 Apr 2014 · 6,721 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleSpiral Binomial and Related Distributions for Obsession to AbortionRamalingam ShanmugamRepeated abortion is considered an important health concern by the pregnant women and the governments. Educating the public about the impact of abortion becomes the government’s responsibility. For this purpose, the government agencies turn to health and medical researchers for opinion about the impact of abortion. The public health researchers turn to data for clues and seek pertinent data information … …International Journal of Research in Nursing, Vol. 3, Issue 2 · 13 Aug 2012 · 6,720 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleFitting of Finite Mixture Distributions to Motor Insurance ClaimsP. Sattayatham, T. TalangtamProblem statement: The modeling of claims is an important task of actuaries. Our problem is in modelling the actual motor insurance claim data set. In this study, we show that the actual motor insurance claim can be fitted by a finite mixture model. Approach: Firstly, we analyse the actual data set and then we choose the finite mixture Lognormal distributions … …Journal of Mathematics and Statistics, Vol. 8, Issue 1 · 16 Jan 2012 · 9,300 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleDot Detection of Braille Images Using A Mixture of Beta DistributionsAmany Al-Saleh, Ali El-Zaart, Abdul Malik Al-SalmanProblem statement: Braille is a tactile format of written communication for people with low vision and blindness worldwide. Optical Braille Recognition (OBR) offers many benefits to Braille users and people who work with them. Approach: This study presents an algorithm for detecting dots composing braille characters in an image of embossed braille material obtained by an optical scanner. We assumed … …Journal of Computer Science, Vol. 7, Issue 11 · 6 Sep 2011 · 7,436 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleBoundary Distributions with Respect to Chebyshev's InequalityPeter Bias, Shawn Hedman, David RoseVariables whose distributions achieve the boundary value of Chebyshev’s inequality are characterized and it is found that non-constant variables with this property are symmetric discrete with at most three values. Nevertheless, the bound of Chebyshev’s inequality remains optimal for the class of continuous variables. …Journal of Mathematics and Statistics, Vol. 6, Issue 1 · 31 Mar 2010 · 8,633 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleComputational Complexity between K-Means and K-Medoids Clustering Algorithms for Normal and Uniform Distributions of Data PointsT. Velmurugan, T. SanthanamProblem statement: Clustering is one of the most important research areas in the field of data mining. Clustering means creating groups of objects based on their features in such a way that the objects belonging to the same groups are similar and those belonging to different groups are dissimilar. Clustering is an unsupervised learning technique. The main advantage of clustering … …Journal of Computer Science, Vol. 6, Issue 3 · 31 Mar 2010 · 19,434 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleRandom Sum of Mixtures of Sum of Bivariate Exponential DistributionsAbd El-Moneim A.M. Teamah, Ahmed M.T. Abd El-BarProblem statement: The distributions of R = X+Y and W = X/(X+Y), where X and Y follow Lawrance and Lewis`s bivariate exponential distribution, is generalized. Approach: In this research we found mixtures of sum of bivariate exponential random variables. Results: Also we calculated the probability density function (pdf) of the random sum of mixtures of sum of bivariate exponential random … …Journal of Mathematics and Statistics, Vol. 5, Issue 4 · 31 Dec 2009 · 7,316 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleConstrained Single Period Stochastic Uniform Inventory Model With Continuous Distributions of Demand and Varying Holding CostHala A. Fergany, M. E. El-SaadaniThis paper derives the single period stochastic inventory model with continuous distributions of demand and the holding unit cost is a function of the purchased (ordered) quantity. The objective is to find the optimal purchased quantity which minimizes the expected total cost for the period under a restriction on the expected varying holding cost when the demand during the period … …Journal of Mathematics and Statistics, Vol. 2, Issue 1 · 31 Mar 2006 · 7,156 accessesView PDFCite